{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8c1e31e4-d8d4-4e83-8f4c-f868365d14d7",
   "metadata": {},
   "source": [
    "# Model Analysis\n",
    "\n",
    "This notebook will analyze the training results of the standard and balanced model on the [imbalanced insurance](https://www.kaggle.com/arashnic/imbalanced-data-practice) dataset. In order for the cells in this notebook to run, you must first run the following command to train the models:\n",
    "```\n",
    "python model_training.py\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3b3b6c1-5d11-4a03-9dfa-b070e45b2adb",
   "metadata": {},
   "source": [
    "## Import required libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "id": "6a6bbd43-1333-4a0e-b895-c3e393d5ee07",
   "metadata": {},
   "outputs": [],
   "source": [
    "from ludwig.utils.data_utils import load_json\n",
    "from ludwig.visualize import learning_curves\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import os.path\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5e4d240-7607-4036-9573-6b452523c18f",
   "metadata": {},
   "source": [
    "## Learning Curves"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "725dde7d-f7a5-4836-8cf1-a3f50acafd30",
   "metadata": {},
   "source": [
    "### Create Plotting Data Function "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "id": "d8c35325-cfab-4ead-8699-1e98e55a8c7b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_plot_ready_data(list_of_train_stats, model_names, metric, target):\n",
    "    # List of splits to evaluate statistics for\n",
    "    list_of_splits = ['training', 'validation', 'test']    \n",
    "    \n",
    "    # Empty list to fill with dfs for each models' stats\n",
    "    list_of_train_stats_df = []\n",
    "    \n",
    "    # For each models' stats, create a df with columns of stats for each split listed above\n",
    "    for name, stats in zip(model_names, list_of_train_stats):\n",
    "        list_of_dfs = []\n",
    "        for split in list_of_splits:\n",
    "                df = pd.DataFrame(stats[split][target])\n",
    "                df.columns = [split + '_' + c for c in df.columns]\n",
    "                list_of_dfs.append(df)\n",
    "    \n",
    "        combined_df = pd.concat(list_of_dfs, axis=1)\n",
    "        combined_df.name = name\n",
    "        combined_df['epoch'] = combined_df.index + 1\n",
    "        list_of_train_stats_df.append(combined_df)\n",
    "    \n",
    "    # holding ready for plot ready data\n",
    "    plot_ready_list = []\n",
    "    \n",
    "    # consolidate the multiple training statistics dataframes\n",
    "    for df in list_of_train_stats_df:\n",
    "        for col in ['training', 'validation']:\n",
    "            df2 = df[['epoch', col + '_{}'.format(metric)]].copy()\n",
    "            df2.columns = ['epoch', '{}'.format(metric)]\n",
    "            df2['split'] = col\n",
    "            df2['model'] = df.name\n",
    "            plot_ready_list.append(df2)\n",
    "\n",
    "    return pd.concat(plot_ready_list, axis=0, ignore_index=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "722f5f48-7026-427e-9bb7-388fec15a24f",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Create Plotting Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 228,
   "id": "6b48aef8-11a8-4bba-8d52-114adb9cb2f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "standard_stats = load_json(os.path.join('results/balance_example_standard_model','training_statistics.json'))\n",
    "balanced_stats = load_json(os.path.join('results/balance_example_balanced_model','training_statistics.json'))\n",
    "\n",
    "accuracy_learning_curves = create_plot_ready_data([standard_stats, balanced_stats], ['standard_model', 'balanced_model'], 'accuracy', 'Response')\n",
    "roc_auc_learning_curves = create_plot_ready_data([standard_stats, balanced_stats], ['standard_model', 'balanced_model'], 'roc_auc', 'Response')\n",
    "loss_learning_curves = create_plot_ready_data([standard_stats, balanced_stats], ['standard_model', 'balanced_model'], 'loss', 'Response')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "id": "a06aaa41-e692-4348-aab5-6bd78711f6f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,6))\n",
    "sns.set_style(style='dark')\n",
    "ax = sns.lineplot(x='epoch', y='accuracy',\n",
    "             style='split',\n",
    "             hue='model',\n",
    "             data=accuracy_learning_curves)\n",
    "ax.set_title('Accuracy Learning Curves', fontdict={'fontsize': 16})\n",
    "ax.grid(visible=True, which='major', color='black', linewidth=0.075)\n",
    "ax.grid(visible=True, which='minor', color='black', linewidth=0.075)\n",
    "ax.set_xlabel(\"Epoch\", fontsize = 15)\n",
    "ax.set_ylabel(\"Accuracy\", fontsize = 15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "id": "b6ef7fce-b49e-49a6-a4b0-436d078f72ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,6))\n",
    "sns.set_style(style='dark')\n",
    "ax = sns.lineplot(x='epoch', y='roc_auc',\n",
    "             style='split',\n",
    "             hue='model',\n",
    "             data=roc_auc_learning_curves)\n",
    "ax.set_title('ROC AUC Learning Curves', fontdict={'fontsize': 16})\n",
    "ax.grid(visible=True, which='major', color='black', linewidth=0.075)\n",
    "ax.grid(visible=True, which='minor', color='black', linewidth=0.075)\n",
    "ax.set_xlabel(\"Epoch\", fontsize = 15)\n",
    "ax.set_ylabel(\"ROC AUC\", fontsize = 15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "id": "9bfd8dc1-b0e0-451c-8f2b-de9e92e976c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IHOzDD9/j88+X4vP5yMnZw5VXDuazz5ayadMGbrvtToqLi1mw4A2cTifNm7fg3nsfpLS0lAkTxlBYWEjTps3K32vDhvU888yTmKZJYmIi998/3sJPVjcprImIiNRDRUVFPP30VJYsWcSbb77OzJlz+O67lcyfP48tWzbx8svziImJ5bnnnuaddxYC0Lp1G26++TbWrPmRVau+BeDxxydy//3jaN06g/fff5t5816he/eeVn60Okdh7RjkF/vxh0waxLqsLkVEROSIHH98OwDi4uJp1ao1hmEQHx+Pz1dC69YZxMTEAnDyyV1ZseJrAHr2PBWAk07qgMNRFiG2bNnE008/BkAwGKB585Y1/VHqPIW1Y/Dcso1szilm9uDOVpciIiJyRA59R6LB5s2bKC4uJjo6mtWrV9G8eQsMw8aPP/6P3r3P5Jdf1hEIlD2Et0WLlowZM4H09HR++GE1e/Zk19yHqCcU1o6BaUJWQYnVZYiIiFQZu93O0KE3c8cdN2MYNpo1a84ttwzHbrczefLD3HrrDbRs2Qqn0wnA3Xffz8SJ4wiFyh4ee999Y8nO3m3lR6hzDHPfPAp1kN8fJC+v8qlH9k1HdTQPUJz08S988NNOvhzR+6jqq22OpVf1ifoUPvUqfOpVeOpjn7KytpCefuSnHoN7n/aqh+JWrrr6VNH3lpZW8XRTmmPiGPyUVYg/aFLiD1pdioiIiNRRCmvHICGqbAi4oOTIJs8VERERCZfC2jFIiim75G9PUanFlYiIiEhdpbB2DFJjyh7ZsSPfZ3ElIiIiUlcprB2Dfc9X21moO0JFRESkeiisHYN++W/ytHM6hT5dsyYiIiLVQ89ZOwYZ9p00sv3IRrsyr4iIiFQPpYxjYItOJgkvubrBQEREpNzChW8e83vcdNN17Nix/Yhft2XLZoYPv+mY9384l1zS75DrduzYzk03XVdl+9LI2jEocSSQYvhZu203cJzV5YiISD33wZqdvPtjVljb7nsm/qGnnSpzSYd0Ljqp0RHV8corf+eKK646otfIoSmsHQNHTHLZb0ryrS1ERETEIr/9toVHH30Yh8OB3W6na9duFBTk89RTj3HrrcN57LGJeDyF5Ofn0b//5Vx++UCGD7+J449vx8aNGygq8vDII4+Tnt6YF1+cxvLlX9GoUSPy8/MA2LVrJ0899RilpT4KCvK57rph9OlzJkOGDKJ585Y4nU5uv/0uJkwYg2mapKSkVlrvqlXf8tprc3A6nezatZNLL72CVau+Zf36X7jyysFcfvlAVqz4mpkzX8DtdhMfn8Do0WOIj4/niScmsWnTRpo2bUZpadlZtZ07s3jiiUcpLfXhcrm5994HqrzHCmvHwIxKAsBVmmdpHSIiIgAXndQo7FGwqppGacWK5bRr157bb7+L77//juTkZBYuXMA999zHzz+v45xzzuOMM/qSnb2b4cNv4vLLBwJwwgknceedd/Pii9P45JP/cPrpvfj+++946aVXKS4u4i9/GQCUndb8y1+upmvXbvzvf98ze/aL9OlzJsXFxVx33Q20bdue559/hnPO6ccll1zO4sUf869//bPSmnft2sWcOa+zbt1axo27jzfffJvdu3fxwAOjuOyyK3jiiUeZPv0l0tIa8uab85g79+907dqd0tJSZs6cQ1ZWFv/972IApk17loEDr+LUU0/n22+/YcaM57nppr8eU0//TGHtGPib/D+uD45lg9HA6lJEREQscfHFlzJv3ivcffftxMbGcfPNt5WvS01NZcGC11m6dAkxMbEEAn88PaFt23YANGrUiD179rBp00batz8Bm81GbGwcGRnH7X2PBrzyymw++OAdwDjgPVq0aAXApk0b6dfvQgA6djz5sGEtI6MNDoeD+Ph4mjRpitPpJD4+gdJSH3l5ecTExJKW1hCATp26MGvWCyQnp3DCCScBkJ6eTsOGZaF448b1zJ37MvPmvQKAw1H10Uo3GBwDM6YB3zs7kRdwW12KiIiIJT7/fCknn9yFZ599gbPOOpt5814pvx7ujTfm0qFDJ8aNe4S+fc8pXw4HXyvXokVL1q5dQygUori4mM2bNwLw0kszOP/8ixg79hG6du12wGv2vUfLli1Zs+YHANau/emwNVd2mV5SUhJFRV6ys7MB+P77VTRv3pyWLVuV7yM7eze7d+/eW3crbr31dp5/fiajRj3AmWeefdj9HymNrB2LUi+32hbygXkiptnrsBdpioiI1DXt25/IhAljsdvt2Gw2br/9Lnbs2M6ECWO5+OJLeeqpyXz88UckJiZit9vLr/X6s+OPb8dZZ53DjTdeQ4MGaSQnpwBw1lln8+yzTzF37ss0bNiIvLy8g1574423Mn78/Sxa9DFNmjQ9ps9jGAb33vsgDz44CpvNIC4unvvuG0dqaio//PA9w4ZdS3p6Y5KSkgC47bY7efrpxygtLcXnK+HOO+85pv1XWJO5f8ytY/z+IHl5RZVuU1RUtj4mJuaI398o9dBgVnsm+TP5v79OJsZ1bOf9I92x9Ko+UZ/Cp16FT70KT33sU1bWFtLTWx7x66rqmrW6rrr6VNH3lpYWX+G2Glk7BqYzlpBhJ8nwkF/ir/NhTUREpLZ4+eVZrFy54qDlDzww/phH32qawtqxMAyKbPEk4SW7sJTGCVFWVyQiIiLA9dcP4/rrh1ldRpXQDQbHqNieQKLhZbsmcxcREZFqoLB2jPyuRBLxsLPQZ3UpIiIiUgfpNOgx+r3FFfxrdRYuhTURERGpBhpZO0Yl7a/irVAfcor8VpciIiIidZDC2jFqbO6kj+178ooV1kREpH768MP3eOGFqYfdbtWqbxk//v4aqKjMJZf0q/Z9jB9/P6tWfXvI9QMH9sfnO7azbzoNeowa//4Or7r+xk1RZ1ldioiI1HPudf8kau388Dbe95TVwzzPveSEv+BrP/CY6pJjo7B2rKKTAbD58i0uRERExDpr1vyPO++8Fa/Xy9ChN+HzlfDWW/8on2Jq4sQnDth+4cI3Wbp0CYFAgLi4OCZNepJPPvk3X331BT5fCdu2beXqq6/lwgv7s2bNjzz77FOYpklaWkPGj3+ErVu38swzT2KaJomJidx//3iio6N54olJbNq0kaZNmx1ytoR9rrrqMjp06MTWrb/TtWs3vF4Pa9euoUWLlowd+wg7dmxn8uQJBAIBbDYbd955D8cf35aFCxfw/vtvk5ragNzcXAACgQBPPvkoW7f+TigUYtiwWw+aHutoKawdI9OdCEBB7m6LKxERkfrO135g2KNgVf1k/qioKJ588lny8nK56abr6N//Mp588lmioqJ44olJfPPNVzRokAZAKBQiPz+fZ56Zjs1m4667hrN27RoAvF4PU6Y8z++//8bo0SO58ML+PPHEJB5++FFatWrNW2/9g82bN/P0049x//3jaN06g/fff5t5816hQ4dOlJaWMnPmHLKysvjvfxdXWnNW1g6efXYGDRo04IIL+jJz5hxGjryXQYMupbCwkGnTnuGKKwbRq9cZbNy4nscee4Rnn32Bf/xjPq++Oh+bzcYNN/wfAO+99zaJiUncf/848vPzuO22m3jttQVV0luFtWNkupMACBbnWluIiIiIhTp16oxhGCQnpxAbG4fD4WDixPHExMSwZctmOnToVL6tzWbD6XTy0EMPEh0dza5duwgEAgAcd1xbABo2bFQ+Mpabm0OrVq0BGDDgSgC2bNnE008/BkAwGKB585Zs2rSBE044CYD09HQaNmxUac0JCYmkp6cDEB0dTevWGQDExsZRWupj8+bNnHxyF6Bs7tJdu3ayZctmWrfOwOVyAZTvb8OG9fzww3f89NOP5TXl5+cdbTsPoLB2jEJRSQDEhjzWFiIiImKhtWt/AmDPnmy8Xg8LFrzBwoXvAzBy5G3sPxX5+vW/smzZf5k16xVKSkrKR6egbCL1P2vQoAG///4bzZu34LXX5tC8eUtatGjJmDETSE9P54cfVrNnTzYOh4NFi/4DDCY7eze7d1d+1quife2vVatW/PDDak4/vQ+//vozKSmpNGnSlM2bN+LzleBwOPnll58577wLaNmyFQ0bNuSaa4bi85Xwyit/Jz4+Idz2VUph7RiFYhqxwnYyBSE3pmke9osXERGpi3w+H3fccQvFxUWMHj2Gd955i6FD/4/o6Gji4+PJzt5N48ZNAGjWrDnR0dHccMMQXC4nqakNyM4+dLAaNeoBJk+egM1mIzU1lUGDMmnUKJ2JE8cRCoUAuO++sbRo0ZIffvieYcOuJT29MUlJScf0mW67bQSPPTaR+fPnEQwGuf/+sSQnJ3Pjjbdwyy1DSUpKJjo6GoBLLx3A449PZPjwm/B6PVx++ZXYbFXz0A3D3D/q1jF+f5C8vKJKtykqKlsfExNz1PsZ+vp3/G9HIUuGn0acu+7m36roVX2gPoVPvQqfehWe+tinrKwtpKe3POLXVfU1a3VVdfWpou8tLS2+wm3rbrKoQclugyh85BaV1umwJiIiUtt8/vlS5s+fd9DyK68czBln1I7HbilZVIFZuwYxz9GHvOKeNE+2uhoRERHZp1evM+jV6wyryzgmmsGgCoTcSSQaHjylAatLERERkTpGYa0KBFyJJOJlR16J1aWIiIhIHaOwVgWKHQkkGV5+zfZaXYqIiIjUMQprVcAWk0wSHnKKNJm7iIjUDcOH38SWLZv58MP3+PzzpUDZFFFS8xTWqoA9NhUDk7xihTUREalbLrywf/kF+q+88neLq6mfdDdoFSg5czJnr/6c40p0g4GIiES2337bwqOPPozdbsdut3PxxZfy4YfvYbPZ2LNnD5dccjlXXDGofPvZs18kNTWV/Px8Cgryeeqpx7jnnvss/AT1T42OrH3//fcMGTIEgC1btjB48GAyMzMZP358+ROIFyxYwIABAxg0aBBLliwBoKSkhNtvv53MzEyGDRtGTk5OTZZ9WA67DZsBXt0NKiIiEW7FiuW0a9eeKVOeZ8iQ6yksLCA7ezePPTaFmTNfZsGC18nNPfjf2WuvvYGEhEQFNQvUWFibNWsWY8aMwefzATB58mRGjBjB66+/jmmaLF68mN27dzN37lzmz5/P7NmzmTJlCqWlpbzxxhu0bduW119/ncsuu4zp06fXVNlhcW1exH/c95Fm7rG6FBERkUpdfPGlJCYmMWrUnbz11j+w2+106NAJl8uF2x1FRkYbtm3banWZsp8aOw3aokULpk6dyr333gvAmjVr6NGjBwB9+vThiy++wGaz0aVLF1wuFy6XixYtWrBu3TpWrlzJjTfeWL5tuGEtFAqVTz1yKMXFla8Ph1lUyPH8RjKFh91fbVYVvaoP1KfwqVfhU6/CUx/7FAqZ5VMihWPZsiV07Hgy11xzPYsXf8ysWTNITEyktLQUv9/Pxo0baNy4KVA21ZJpmuX7MM3QEe2rLjDNsjN/Vf2xQyGzgsxg8XRT/fr1Y+vWP5L6/pOex8bGUlhYiMfjIT7+j0JjY2PxeDwHLN+3bSQJuRMBsPnyrC1ERETkMNq1O4GJE8djt9ux2QwGDBjEf/7zAffeO4KCgnyuuWboISdAb9myNRMnjmfMmIdrtuh6zrIbDPafid7r9ZKQkEBcXBxer/eA5fHx8Qcs37dtuPsIdzLfY5n0156YDoA7UIg7Khq7zTjq96oN6tMEycdCfQqfehU+9So89alPBQXGEU0y3qJFS2bOnFM+Qvb999/x888/8fDDkw/Y7vnnZwKQkdHmoGX1yb4RtaqeyN1mM8I+Ti17dMeJJ57I8uXLAVi2bBndunWjU6dOrFy5Ep/PR2FhIRs2bKBt27Z07dqVpUuXlm97yimnWFV2hUx3EgCJhpdCn24yEBERkapj2cja6NGjGTt2LFOmTCEjI4N+/fpht9sZMmQImZmZmKbJyJEjcbvdDB48mNGjRzN48GCcTidPP/20VWVXaN9p0CQ85Bb5SYp2WlyRiIhIeLp27UbXrt2sLkMqYZimaVpdRHXx+4Pk5VV+sem+i/uOacjcNHn1/Q+Z+ws8POBUTmudcvTvFcGqpFf1gPoUPvUqfOpVeOpjn7KytpCe3vKIX7fvNGhVn96ra6qrTxV9b2lpFd9goBkMqoJhUJJ6EnnEk1Xgs7oaERERqUM0g0EVOTf/HxTbC8gtOvL/uhERERE5FI2sVZGOns+5wPYNMW7lXxEREak6CmtVxIhOJtHwkq/J3EVEpB7x+Xy8997bYW374Yfv8fnnSw+5fu7cOfz0049VVFndoWGgKhJwJZJkeFi9Nd/qUkRERGpMTs4e3nvvbfr3v+yw2154Yf9K1w8Zcl3VFFXHKKxVESM6iUS85BRpZE1ERKyxaNF/+Pjjj8Ladt/DIPbNJnQo5513Aeec0++Q61999e9s3ryJ3r27061bD4qLi7nvvrH8+98fsG7dTxQVFdGqVWseeGA8s2e/SGpqKi1atGLevFdxOh3s2LGdvn3P5dprb2DSpIc4++zzyMnZw1dffYHPV8K2bVu5+uprufDC/vz0049MmfIEMTExJCcn43K5efDBh8LuT22lsFZVopKIN4op8ZVYXYmIiEiNueaaoWzYsJ6ePU+lsLCQESPuwestmybymWemEwqFGDJkELt37zrgdTt37mDOnDfw+/1cdtn5XHvtDQes93o9TJnyPL///hujR4/kwgv789RTkxkzZgIZGW148cVpZGfvrsmPahmFtSpS2vJsHv86n5K9E76KiIjUtHPO6VfpKNj+quP5YS1alD0Rwe2OIjc3l/HjHyAmJobi4mICgQNn+MnIOA6Hw4HD4cDtjjrovY47ri0ADRs2orS0FIDs7Ozy6a9OPrkLixd/XGW1RzKFtSoSaNiJd+0eikoV1kREpP4wDBvm3oEK2965sb/++gt27drJhAmTyc3NZdmyJfz5GfyHOfta4enZhg0bsWnTRlq3zmDNmv9VzQeoBRTWqohRnMOlti/5KNTW6lJERERqTHJyMn5/AJ/vj4fCn3DCScyZM5ubbroOl8tFkyZNq+SU5d13j2by5AlER8fgdDpIS2t4zO9ZG2i6qSqamsSRtYrkhZdwXekoJt9xOw573XsqSn2cxuVoqE/hU6/Cp16Fpz72qT5NN7Vw4QL69j2X5ORkZs6cjtPp5Prrh1XrPiNhuimNrFURMyoJgCS8FPgCpMS4rC1IRESkjklJSeGuu24jOjqGuLi4enEnKCisVZlQVDIASYaHPZ5ShTUREZEqdtZZ53DWWedYXUaNq3vn6ixiuhKAsrC2vUCP7xAREZGqobBWVWx2SuxxJOIlq9B3+O1FREREwqCwVoU2p1/AT2ZLdimsiYiISBVRWKtCv3d7iH8Ez9SUUyIiIlJlFNaqUGN3CY3ZQ25RqdWliIiIRJThw29iy5bNfPjhe3z++dKD1l9ySeUzLyxduoTs7N3s2ZPNU089Vl1lRiSFtSqU8e145rknE+vWTbYiIiIVufDC/vTqdcYRv+4f/3gDr9dLamoD7rnnvmqoLHIpVVQhIzqZZMNDKFRnnzMsIiIR7t57R1S4/IknngFgxozn2bhxffn0T/umdbr55uG0aXMcn3zybz755N8Hve5QHnhgFFde+Re6dDmFtWvXMH36cyQlJePxFJKfn0f//pdz+eUDy7efPftFUlNT6d//cp54YhKbNm2kadNm5fN/bty4nqlT/0YoZOLxlE0MX1hYyPr1vzBx4jjGjn2EiRPHM3PmHFas+JqZM1/A7XaTkJDI/feP49dff2bevFdxOh3s2LGdvn3PPWiS+NpGYa0KhaKSiMfDbzmVz5ogIiJSV/TvfxkfffQ+Xbqcwocfvk/Xrt3IyGjDGWf0JTt7N8OH33RAWNvn66+/pLS0lJkz55CVlcV//7sYgE2bNjJ8+EjatDmOjz/+Nx9++B6jR4/huOPaMmrUAzidTgBM0+SJJx5l+vSXSEtryIIFb/DKK7M57bRe7Ny5gzlz3sDv93PZZecrrMkfTHciDkLkFeRaXYqIiNRThxsJu+WW4cChp1E699zzOffc88PeX8+epzJ9+rMUFOTzww/f8dRTzzFjxvMsXbqEmJhYAoFAha/btGkDJ5xwEgDp6ek0bNgIgAYNGjJnzku43W6KioqIjY2t8PV5eXnExMSWzw/auXMXXnxxOqed1ouMjONwOBw4HA7c7qiwP0uk0jVrVch0JwEQHSy0thAREZEaYrPZOOusc3jqqcfo3ftM5s9/jQ4dOjFu3CP07XsOh5qCvGXLVqxZ8wMA2dm72b27bKL3Z599khtuuJkxYx6mTZvjyl9vs9kIhULlr09KSqKoyEt2djYAq1evonnzFgDsPbNbZ2hkrQqFYtLYbjTCEdJz1kREpP646KJLGDToUubP/xc7dmznqacm8/HHH5GYmIjdbi+/Hm1/vXufyQ8/fM+wYdeSnt6YpKQkAM477wLuu+9uUlJSSEtrSH5+HgAdOnRi4sTx3Hvvg0DZtXb33vsgDz44CpvNID4+gQceeIiNG9fX1MeuMYZ5qMhbB/j9QfLyKr9+rKiobH1MTEyV7POa11axdqeHL+7shctRtwYuq7pXdZX6FD71KnzqVXjqY5+ysraQnt7yiF93qNOgcqDq6lNF31taWnyF29atNBEBEqLKBivzi/WsNRERETl2CmtVyCjew4s51zPQvpSc4oovqBQRERE5EgprVch0xpDk30ka+XhLFdZERETk2CmsVSVHNEGbm0TDo8ncRUSkxtThy8/rpCP9vhTWqpjPEU8iXtbu9FhdioiI1AMOhwuvt0CBrZYwTROvtwCHwxX2a/TojipmRiWRVOxhj1c3GIiISPVLTk4jN3c3Hk/eEb1u39SINlsdeyhZFauOPjkcLpKT08Lfvsr2LGWikknCS26x3+pKRESkHrDbHTRo0PiIX1cfH3NyNCKhTzoNWsUKz3+Bm/0jKSjRDQYiIiJy7BTWqpg9Pp1CYvH4FNZERETk2CmsVTH3r+8x3T2VYEgXeoqIiMixU1irYvb8TVxgfEWSU2FNREREjp3CWhULRSUBYJbkWluIiIiI1AkKa1XMdCcCECjKs7YQERERqRMU1qpYyJ0EQCIeSvxBa4sRERGRWk9hrYqZe0+DJhkePWtNREREjpnCWhULJrbm743G8L9QBjvyS6wuR0RERGo5hbUqZroT+K1RP3aRTFaBJnMXERGRY6PppqrBGZ4PWGs42elpZXUpIiIiUstZGtb8fj/33Xcf27Ztw2az8cgjj+BwOLjvvvswDIPjjz+e8ePHY7PZWLBgAfPnz8fhcHDrrbdy1llnWVl6pXpvncFv9u4UR/W3uhQRERGp5SwNa0uXLiUQCDB//ny++OILnnnmGfx+PyNGjKBnz56MGzeOxYsX07lzZ+bOncvChQvx+XxkZmZy+umn43K5rCz/kMyoRJKKvezU/KAiIiJyjCwNa61btyYYDBIKhfB4PDgcDlavXk2PHj0A6NOnD1988QU2m40uXbrgcrlwuVy0aNGCdevW0alTp0rfPxQKUVRUVOk2xcWVrz8acc4EEvGy+vdcijo2qPL3t0p19KouUp/Cp16FT70Kj/oUPvUqPDXbp/gKl1oa1mJiYti2bRsXXHABubm5zJgxgxUrVmAYBgCxsbEUFhbi8XiIj//jA8TGxuLxeKwq+7BMdyJJxg52eUqtLkVERERqOUvD2pw5c+jVqxd33303O3bs4Nprr8Xv/+PZZF6vl4SEBOLi4vB6vQcs3z+8HYrNZiMmJiasWsLdLhy22FSS+JUif6hK3zdS1MXPVB3Up/CpV+FTr8KjPoVPvQqPlX2y9NEdCQkJ5aErMTGRQCDAiSeeyPLlywFYtmwZ3bp1o1OnTqxcuRKfz0dhYSEbNmygbdu2VpZeqdKWZ/Ou2ZsizWAgIiIix8jSkbXrrruOBx54gMzMTPx+PyNHjqRDhw6MHTuWKVOmkJGRQb9+/bDb7QwZMoTMzExM02TkyJG43W4rS6+Ur90AXlqUTmkgZHUpIiIiUssZpmmaVhdRXfz+IHl5lV8YuO8GhKoc3jRK8rhnzgd8XdyEz0ZG7iNGjlR19KouUp/Cp16FT70Kj/oUPvUqPDXZp7S0ii/x0gwG1cC1+RPmBEeTbmZTh7OwiIiI1ACFtWpguhMBiMer69ZERETkmCisVYOQOwmARMNLTpEe3yEiIiJHT2GtGphRSQAk4WF7Xom1xYiIiEitprBWDfaNrCUZHnYU+qwtRkRERGo1hbVqYEYlkh3bFo8ZzS6FNRERETkGCmvVwe7mqzMX8naoF3u8umZNREREjp7CWjVpkuAGTHKK/IfdVkRERORQFNaqSYdPB/Oi6xncDrVYREREjp6SRDUx7E7S7F4cNsPqUkRERKQWU1irJmZUUtmjO/L16A4RERE5egpr1STkTiI2VMiGPZXPTSoiIiJSGYW1amK6E0k0PPgCIatLERERkVpMYa2ahKKSicKPEdRpUBERETl6CmvVpLjzMPrFvUWJ6SJkmlaXIyIiIrWUwlp1sbuJi3ID4CkJWFyMiIiI1FYKa9XEvmctj3rHcpKxiT1FmsVAREREjo7CWjUxQgHaFa+iibGHIr9uMhAREZGjo7BWTULuRACSDA85mh9UREREjpLCWjUx3UkAJOLlf9sLrC1GREREai2FtWpiuuIJGXaSDA/ZGlkTERGRo6SwVl0Mg5ArgUS85Bb5ra5GREREaimFtWqUc95MZgcvIL9EYU1ERESOjsPqAuoyo8WpbDH9tPTpOWsiIiJydDSyVo1c699nqOM/FOvRHSIiInKUFNaqkXvjvxnm/pgGsS6rSxEREZFaSmGtGplRScSbHl2zJiIiIkdNYa0ahdxJRIc87CootroUERERqaUU1qqRGZWEDZPokJdgyLS6HBEREamFFNaqUWjvLAZJhocCnQoVERGRo6CwVo0CDTvxdtL1eMxoduSXWF2OiIiI1EIKa9UomNKWb5pcxx4S2VHos7ocERERqYUU1qpToIRTgqtpQjY7FdZERETkKCisVSOjtJArfr6TvvbviHXZrS5HREREaiGFtWpkuhMBSMKDtzRocTUiIiJSGymsVSe7i5AzliTDw9qsQqurERERkVpIYa2ame5EEvGyJVcPxhUREZEjp7BWzUx3EkmGF48vYHUpIiIiUguFHdZM0+Sdd94hKysLgNmzZ3PxxRfz4IMPUlRUVG0F1nalzU7nV5pTpGvWRERE5CiEHdaef/55HnroIbKysvj22295+umn6d69O9999x1PPvlkddZYq3l7jWe6MZiSQMjqUkRERKQWCjus/etf/+LJJ5+kc+fOfPTRR3Tu3Jnx48czadIkPvnkk+qssXYzQ6Q6SihVWBMREZGjEHZY2717Nx06dADg888/p3fv3gCkpaXh8Xiqp7o6IParyXwSuhGboYncRURE5Mg5wt2wefPm/Pjjj+Tk5LBlyxb69OkDwJIlS2jevHm1FVjbhaKScOHHCPoIBEM47LqnQ0RERMIXdli78cYbGTlyJDabje7du3PSSScxffp0pk2bxqOPPnrUBbz44ot8+umn+P1+Bg8eTI8ePbjvvvswDIPjjz+e8ePHY7PZWLBgAfPnz8fhcHDrrbdy1llnHfU+a9L+D8bNLfaTFue2uCIRERGpTcIOawMGDODEE09k69at5adAO3fuzJw5c+jevftR7Xz58uV89913vPHGGxQXF/P3v/+dyZMnM2LECHr27Mm4ceNYvHgxnTt3Zu7cuSxcuBCfz0dmZiann346LpfrqPZbk0LuJAASDS/b80sU1kREROSIhB3WANq3b0/79u0ByMnJoaCggJNOOumod/7555/Ttm1bbrvtNjweD/feey8LFiygR48eAPTp04cvvvgCm81Gly5dcLlcuFwuWrRowbp16+jUqVOl7x8KhQ77WJHi4up97EiIaBKBJLxs3p3P8cnOat1fdaruXtUV6lP41KvwqVfhUZ/Cp16Fp2b7FF/h0rDD2rp167jjjjuYNGkS7du358orr2Tbtm04nU5eeOEFevXqdcQl5ebmsn37dmbMmMHWrVu59dZbMU0TwzAAiI2NpbCwEI/HQ3z8Hx8gNja21tzUEHQnUmqLJtrwsdvjt7ocERERqWXCDmuPP/44bdu2pU2bNrz99tsUFxfz5ZdfMn/+fJ555pmjCmtJSUlkZGTgcrnIyMjA7XaXP3QXwOv1kpCQQFxcHF6v94Dl+4e3Q7HZbMTExIRVS7jbHbGYbrx9zpf89921NCo1q28/NagufIaaoD6FT70Kn3oVHvUpfOpVeKzsU9i3Jq5evZp77rmHlJQUli1bxplnnklKSgqXXHIJv/7661Ht/JRTTuGzzz7DNE127txJcXExp556KsuXLwdg2bJldOvWjU6dOrFy5Up8Ph+FhYVs2LCBtm3bHtU+rdA0MRqAnCKNrImIiMiRCXtkzeVyYZompaWlrFixgkmTJgFl167FxsYe1c7POussVqxYwcCBAzFNk3HjxtGsWTPGjh3LlClTyMjIoF+/ftjtdoYMGUJmZiamaTJy5Ejc7tpzof4pSzMZZj+B34zrrC5FREREapmww1qPHj144oknSEhIAOCMM85g3bp1TJo0iVNPPfWoC7j33nsPWvbaa68dtGzQoEEMGjToqPdjJVfhb7RzprLHdUT3c4iIiIiEfxr0oYcewuFwsG7dOh5//HHi4uJ45513iIqK4oEHHqjOGmu9kDuRFJuXXR6f1aWIiIhILRP2UE9qaipTp049YNmoUaOw2fRE/sMxo5Jw5xSyJqvQ6lJERESkljmipPXJJ59w5ZVX0rlzZ7p160ZmZiYff/xxddVWZ4TcSSQbHkr8QatLERERkVom7LD20Ucfcccdd9CsWTNGjRrFnXfeSaNGjRg5cqQC22GY7kSSDC/+oCZzFxERkSMT9mnQ6dOnM2LECG6++ebyZUOGDGHmzJnMmDGD8847r1oKrAu8PUdx7+/nEihRWBMREZEjE/bI2pYtWzj//PMPWt6vXz82bNhQpUXVNaGE5hRGNwfAFwhZXI2IiIjUJmGHtcaNG/PLL78ctHzdunUkJydXaVF1jSNrJSNLXyCeIvZ4dUeoiIiIhC/s06ADBw5k/Pjx5OXl0bVrVwBWrlzJM888w1VXXVVtBdYF9vwtnOn5gAZGX4r8GlkTERGR8IUd1oYOHcrOnTt5+OGHCQaDmKaJ0+lk6NCh3H777dVZY61nuhMBSMRLfrGmnBIREZHwhX0a1G63M2bMGL7++mvefPNN3nnnHb799lvOPvtshgwZUp011nqhqCQAkgwP32/Lt7YYERERqVWOeP6juLg4OnXqVP5zfn4+q1atqtKi6hozquyavkQ87CrUNWsiIiISPk0/UANCe0+DJhlecop0GlRERETCp7BWA0x3IjmnTeDr0AnklSisiYiISPgU1mqCzUGwy1B+NltQWBKwuhoRERGpRSq9Zm3GjBmHfYPNmzdXVS11mnPLEk6z/8JGX2erSxEREZFapNKwtmDBgrDepHHjxlVSTF0Wu/wJRkS7mRTf0+pSREREpBapNKx9+umnNVVHnWe6E0m25eAp1WlQERERCZ+uWashIXcSUYECtuWXWF2KiIiI1CIKazXEjEoiziykxB/CNE2ryxEREZFaQmGthpjuROJML2BS4g9aXY6IiIjUEgprNcTfqDPLY/riIMiOAs1iICIiIuFRWKshpRkX8Hbz+wngYEeBrlsTERGR8Cis1ZRgKW2ce4jCR5bmBxUREZEwKazVEGfWt9z640C62NbjsqvtIiIiEh6lhhoScicBkIgXfzBkbTEiIiJSayis1RAzKgmAJMPDr7u91hYjIiIitYbCWg0JuZMBSMLDLwprIiIiEiaFtZriiMK0uUg0vBSWaMopERERCY/CWk0xDAIpbfEbLryaH1RERETCpLBWg/Ku+jczGESJXzcYiIiISHgU1mqY22nDF1BYExERkfAorNWguCWjedU2AZu6LiIiImFSbKhBRqiU5sYuSoMmpmlaXY6IiIjUAgprNSjkTiI6WEAwZOLRTQYiIiISBoW1GmS6E3GHinEQYFueJnMXERGRw1NYq0GhvbMYJOJlR4HCmoiIiByewloNMvfOD5pkeNhZUGptMSIiIlIrKKzVIF/r8/hHr0/YZDZml8dndTkiIiJSCyis1SRnDClpTQlhY0+RRtZERETk8BTWapBRnEP37+7ldNv/8Af1YFwRERE5PIfVBdQrhkHC5vc5yZFKYazb6mpERESkFtDIWg0yXQmYGDR0FJFXrNOgIiIicngKazXJZsd0J+AOFLDit3yrqxEREZFaICLC2p49ezjjjDPYsGEDW7ZsYfDgwWRmZjJ+/HhCobJruxYsWMCAAQMYNGgQS5Yssbjio2e6k0gyvJT4g1aXIiIiIrWA5des+f1+xo0bR1RUFACTJ09mxIgR9OzZk3HjxrF48WI6d+7M3LlzWbhwIT6fj8zMTE4//XRcLlel7x0KhSgqKqp0m+LiytdXtQRXPMmGF5//8LVFmpruVW2lPoVPvQqfehUe9Sl86lV4arZP8RUutXxk7fHHH+cvf/kLDRs2BGDNmjX06NEDgD59+vDll1/yww8/0KVLF1wuF/Hx8bRo0YJ169ZZWfZRyzvlbl5zDiQQ0kTuIiIicniWjqy99dZbpKSk0Lt3b2bOnAmAaZoYhgFAbGwshYWFeDwe4uP/SJuxsbF4PJ7Dvr/NZiMmJiasWsLd7pgddy6/L1+FWeghKjoa297PWpvUWK9qOfUpfOpV+NSr8KhP4VOvwmNlnywNawsXLsQwDL766ivWrl3L6NGjycnJKV/v9XpJSEggLi4Or9d7wPL9w1tt4tixgiuDH7OG3uQUldJAj/AQERGRSlh6GnTevHm89tprzJ07lxNOOIHHH3+cPn36sHz5cgCWLVtGt27d6NSpEytXrsTn81FYWMiGDRto27atlaUfNdeWT7mmcCZgUuLXg3FFRESkcpbfYPBno0ePZuzYsUyZMoWMjAz69euH3W5nyJAhZGZmYpomI0eOxO2unSNSpjsJG0HiKCa/2E+zpGirSxIREZEIFjFhbe7cueW/f+211w5aP2jQIAYNGlSTJVWLUFQSAEmGlx93FHJS4wRrCxIREZGIZvndoPWN6U4CIBEP2/KLrS1GREREIp7CWg0zy0fWPOR4/dYWIyIiIhFPYa2GBeObk3fS9ew0k8ktVlgTERGRyims1bBQfBNKz5jAerMZBSUBq8sRERGRCKewVtNME0f2TzQzsin0KayJiIhI5RTWapphkLzwEm6L/ZS02MrnNhURERGJmEd31CehqCSaGSXs8visLkVEREQinEbWLGC6k0gwvWwv8FHo000GIiIicmgKaxYIuZOIMwsBWL45z9piREREJKIprFnAjEoi1VY2Mf2K3/KsLUZEREQimq5Zs0AgtT1ObJANP+/yWF2OiIiIRDCFNQsU9RwFgOuXz9iuKadERESkEjoNahXTJDXGSb4ejCsiIiKVUFizQNRP82kwozXntzQImbDHW2p1SSIiIhKhFNYsYDqjMUIBzmxqB2B9ttfiikRERCRSKaxZIOROAqBZdNlDcT/fuMfCakRERCSSKaxZwIxKAiDFKBtR+2ZLnnXFiIiISERTWLPAvpE1e2k+MS47Ows17ZSIiIhUTGHNAqY7EQCbr4BG8W68pUFCpmlxVSIiIhKJFNYsYLoT2X3zrxSffANtUmMA+Cmr0OKqREREJBIprFnBMMARDUCXZmWjbF9vzrGyIhEREYlQCmsWifv0HmKWP0mvjBQA8or1cFwRERE5mMKaRRx71uHc+R1NEqNpkhhFTpHf6pJEREQkAimsWSSY0hbH7h/BNGmS4OaH7QVWlyQiIiIRSGHNIv70rthKcrAVbKHYH2RnoY/i0qDVZYmIiEiEUViziL9RVwCcWStp1zAOgBW/51pZkoiIiEQghTWLBFPaEXLG4sxaRdfmSQCs+C3f2qJEREQk4jisLqDestnJu/wtgomtOC3kAmCtnrUmIiIif6KwZqFg2kkAxANOm8HWvGJrCxIREZGIo9OgFrLlbyHh3zfj2LmaFinRlAZDVpckIiIiEUZhzUKmMxb3hg9wbvuKfu0bUugL4vHp4bgiIiLyB4U1C5kxDQgmtMS5cxWt984RquetiYiIyP4U1izmT++KI2sVcU47AP9Zt8viikRERCSSKKxZzN+oK/ainXRJ8gLw626vxRWJiIhIJFFYs1ggvezhuDG7viPaaSOroMTiikRERCSSKKxZLJB6InmXvomvZV/S4tx4fEFM07S6LBEREYkQCmtWszvxNzsdXLFkpMZgAuuzdSpUREREyiisRQDn9uXEf3wb3ZtGA7A2y2NxRSIiIhIpFNYigFG8h6hf36F/WjYAnlI9a01ERETKKKxFgH03GaTk/UBytIOfdmiOUBERESmjsBYBQrHpBOOa4Nj5HSETlm7YY3VJIiIiEiEU1iKEv1FXnFmrSE9wUxII4dc8oSIiIoLFYc3v9zNq1CgyMzMZOHAgixcvZsuWLQwePJjMzEzGjx9PKFQWWhYsWMCAAQMYNGgQS5YssbLsahFI74q98HdOSS4FYOXvedYWJCIiIhHBYeXO3333XZKSknjyySfJzc3l8ssvp3379owYMYKePXsybtw4Fi9eTOfOnZk7dy4LFy7E5/ORmZnJ6aefjsvlsrL8KuVrcxGB1BM4IbcJ/LyFb7bk8f9apVhdloiIiFjM0rB2/vnn069fv/Kf7XY7a9asoUePHgD06dOHL774ApvNRpcuXXC5XLhcLlq0aMG6devo1KlTpe8fCoUoKiqqdJvi4srX1xh7MqSeQscYP7CF/23PO2ztNS1iehXh1KfwqVfhU6/Coz6FT70KT832Kb7CpZaeBo2NjSUuLg6Px8Mdd9zBiBEjME0TwzDK1xcWFuLxeIiPjz/gdR5P3XsWWcymj2i1bgZOm8GeIr/V5YiIiEgEsHRkDWDHjh3cdtttZGZm0r9/f5588snydV6vl4SEBOLi4vB6vQcs3z+8HYrNZiMmJiasOsLdrjrF5vxA9E/zOL3l+WzJ90dETRWJ1LoijfoUPvUqfOpVeNSn8KlX4bGyT5aOrGVnZzN06FBGjRrFwIEDATjxxBNZvnw5AMuWLaNbt2506tSJlStX4vP5KCwsZMOGDbRt29bK0qtFIL0rRqCE0+Ky2JJThM8ftLokERERsZilI2szZsygoKCA6dOnM336dAAefPBBJk6cyJQpU8jIyKBfv37Y7XaGDBlCZmYmpmkycuRI3G63laVXC3+jsofjtiheQ4hufPprNhec2MjiqkRERMRKhmmaptVFVBe/P0heXuUXBu67iD8ihoFNk9SXu7I1uSd9NmZySYdGjO3XzuqqykVUryKY+hQ+9Sp86lV41KfwqVfhqck+paVF4A0G8ieGgT+9K028awD4ZZf3MC8QERGRus7yGwzkQEVdbsHwF+H+l40dBSVWlyMiIiIWU1iLMIHG3QFoEPsN2wtKDniUiYiIiNQ/Og0agaJ+fJVBMSsxTdier9E1ERGR+kxhLQJFrZnHVcYiALK9pRZXIyIiIlZSWItAgfRTSCv8ERshNmTrJgMREZH6TGEtAvkbdcXu99LWvp1/fr/D6nJERETEQgprESiQXvZw3J729WzNK7a4GhEREbGSwloECia2JuROoqdrI8X+EP5gyOqSRERExCIKa5HIMPD0fpg1DS4C4MftBRYXJCIiIlZRWItQvnZXkHh8LwC+3pJrcTUiIiJiFYW1CGWUFtLf9wHtjd/4cUeh1eWIiIiIRRTWIpVpkv7Nw/R3f0dqrMvqakRERMQiCmsRynQnEExpy6mujWzOKbK6HBEREbGIwloE8zfqQtvAOn7eVUhhScDqckRERMQCCmsRLJDelbhQIS3JYrluMhAREamXFNYimL/RKQB0MX7l29/zrC1GRERELKGwFsGCKceT23UEa8xWrNvpsbocERERsYDCWiQzbAROvYdNtpZszy+xuhoRERGxgMJahLN5tnNj1KeUlhRimqbV5YiIiEgNU1iLcI7stdwbnEVHNuELaI5QERGR+kZhLcL507sC0MX2K1tyiy2uRkRERGqawlqEM6OSKY5rSRfbr3ywJsvqckRERKSGKazVAmaTbnSxrWf5Zj1rTUREpL5RWKsFgo1PIc3Ix+HZanUpIiIiUsMU1moBf7NezHVcSX6pQSCkO0JFRETqE4W1WiCYlMHSJsPYSQrrsgqtLkdERERqkMJaLXFmSh7n277hK123JiIiUq8orNUS55R+wnPOqTjxWV2KiIiI1CCFtVoiqkUPXEaQqD0/WV2KiIiI1CCFtVoiuPfhuOa2by2uRERERGqSwlotEYptxE6jIRmla/H4/FaXIyIiIjVEYa0W2RZ7El1s61n1e77VpYiIiEgNUVirRQpbX8TbwdP5dku21aWIiIhIDXFYXYCEL73bAK5d0YROu0qsLkVERERqiEbWapGUGBcn2LeSlPuD1aWIiIhIDdHIWi3zlHs2AdMArrG6FBEREakBGlmrZXKST6ZdaANBvx6OKyIiUh8orNUyJWmdiTL8rP9phdWliIiISA1QWKtl7E27A7Dtp88srkRERERqgq5Zq2WOzzie7YtSuGDPy1z0Ul/apMUxmP9warsWBFPa4kvIwB4VZ3WZIiIiUkUU1mqZKAc87xxCg+LNFOfv4r/5xTztfomErQUAhEyD7UYa250tebflGFo1aUL7mELaNG2KIyrW4upFRETkSCmsRbpSL86d3+Hc8Q3OHStwZq3k4UAROOF25zv4DRc5tlR+ojGeoINgKES04SPN9xtfrfmFf/yYy8vOJ2hkX0uOszGbjGZk2Rvji25MVrMLaZTegowkO02S43E4dDiIiIhEmlrzr3MoFOKhhx7i559/xuVyMXHiRFq2bGl1WVXO8O7CmbWiLJjtWIFj948YZhATg0CDEyk5YRD+xt0xHTHYCrdi92wjsXA7KYVbsXm2YfPuwsAEYLF7FAAeYskxkgn4S2hj/sTJrMJVHGDczmIWhdqQaV9ER8eXZNsasNNIY7uZSqGzEeuSziCQ1oE2iTZObBhNanwsTrsucxQREalJtSasLVq0iNLSUt58801Wr17NY489xgsvvGB1WcfGNLHnbfhj1Gz7N9gLtpStckThb9SFolOG42/cnUCjrpjuhMO/Z7AUmzcLe+FWbIXbsXu2YS/cRkLhtrIwV7gNWyAAwATnKwe8tFFoJw3I5iTTxBkMsnLHKlZvO46G7KGn4xu8phsv0RSbTkpw87V5Ev+iL/G2Eq6zf4w9Kg6fEcVuv4tSewweRxqr4vsS5XbRMbSO5okubHYne4qD2GwO7E47RfHH4XK5SAjm0TgmhNvpwm8aGDY7bpcTV3QC0e4o7EYIuxnAZneAYSv7HwYYRlV/KyIiIhHFME3TtLqIcEyePJlOnTpx0UUXAdC7d28++6zyOyJ9Pj9ZWTmVblNcXARAdHTMEdcUs+lDEtbMOeLXlTFxFPyG3ZcLQNCdjK/RKZQ0OgVfo26UppwAdtdRvndluzUxAl7sJTnYSnL3/ppz0K+2oj2YxXtw+HJxho5tequgaWDDrDBXFZkuQthwU4rTCFW43o8DJwFijNIK1xcQi40QaeTvHVP8Y0d+7OwwUwFoYmRjN0Jl600T9o5BbjNTCeKggZFPjLH3s5r7fjHYbSZSRBTxFJFiK8TYt3rvNoVEk2Mm4CRAE2PPH7s3/6hhm5kGQHNj194a9paw129mQ4I4SDNyiftTDQA7zSS8RJOAlwa2gvLlZnkNMWSbiTgJ0NzYXV6DWV6Dg617a2hp7Kywht/NhgSx09DIJbaCGrJJ+KMPRuFBNXiJJpd4HARIJ6f8+963PoCDLFLKvguyK6whi1RC2EihgGjDV9br/dbnEYsPF9GUkGgU/bFi7zbFuCkkBjtBUik46LsIYCeXeABSycdmmPvVYOytIYUgdpIpIMbwAQbm3uMFYNd+30Xqft/Fvn14iCZnbx+asAfDKDtiDt2HfTXs+6AG20glhJ1U8ok1fAf1ad93EUcRKYbnoGPSQxQ5JOyt4eDvwo+dHTQAoCm7y7+LP457+N1MI4SdNCPvgONhXyf2/bmIo4hU2x/Hw/5/LnLLa6j4z0VlNQD8bjYghJ0GRl55H/Zff9gazGhyqPzP5tHWsG+TfcdDPF7SDnk8JODAv/d42Lt6v2Ny197jIZ09Ff652E4DgnuPh5hq6sNOUrBh0ni/Y3L/InKJwwBiKcZlBA6qoZAYSnDhppR4o5h9f7/u61VZHxKxm0GaGNkH9aEUJ7+bDQFoZWRhN4IH7WOj2RhsDo535WEPeA78ECaE3ImYdheG34vN7/nT602wOTDtbkzA5t/794dR/n+Yhp1QdCoYNmxFuzHMUNk/F4AvqR27Lv0X1a1ly0YVLq81I2sej4e4uD/ucrTb7QQCAUuvszLtbkLOo7/zsrj5WeUBLZDQumZGiQwD0xlHwBkH8S3Ce0mgGFtJDv78HdiCPqIcNjADGEE/hPwYIT9GKIAR8kPQD8ESQj4vQX8JPpz4/aW4PFuJdZiYoSD5xX5CoRAhM0SuM52AaSO+dCcp9hIMTIr9fgKBEJghdtnS8BixJITyaWZk4zAgGAriDwbBhAIjnl22NNxmMW3M33HZDEwzRGkwhIFJKQ422faeLg+5iLGX/QVQGgyV/yHeaGtJ0HDgM7NItXkxgEDILP/Hc5utEQVGPMlmPoaRjc2AoGkSDJWtzzUS2WE0xGWWEoWJ3TAwMQns/Xvfh5PfbGW9jjEDRNnLVgSCZvnfI9uNJgQNB4Zpw7R5MQwIhkxCe2vYbaRRYMTjM/Nx2QxshkFo/xpIZIctDZdZSoJRurcGCIRCe2twscPWGIAE00eUbW8NIZN9Veww0gkYTmymjZDNCwYEQ5TXsI3G5BkJpJh52Gy79/aB8hpySGKb0Qi36cNtgN0GmODfu96Hi/VGawBcZqisD+a+Gsr8SgZ+w0FLczsN7J6938UfNWymKblGIqlmLq1sO8v7ENi7j2xS+M1oTJTpo6OxAbutrA/+YNn6Elz8ZBwPmJxs/ky0PQSYBIIm+w6In2lD0LDTwtxOms2z97sI7f1HxWSnkUa+kUCRmY9z73cRDJns+0+NPSSy3WiEy/QRY4Sw2YyD+vDrfn2I3ns8+IN/fBebaEnAcOA3t9Og/HgIsfct2Epj8o14Usw87LbdBx0POSSWfxcxRqisD/v1yYeLzca+Y9Jffkz69+vDNqMpAcMBe48HY9/nNP84XvbV4LTZ9vsuKK9he3kNARw2A/NPfdhXQ7Tp/1Mfyv6p32o0I2A4ME0HIZsHwzAO+LNZYQ0hk+Dez5BjJLHdaPinGkz85X82j66G/b+LXfv92XTbDGxAyIS9UeOg76Ki42GdkQGA3aS8hkAwVP7nYuPe4yFgbqeBzQP71WBgHmUfyv5+MAEfbtYbGYQw9tZQ9vlLgybm3iCz2jiBUsNFhvk76fYCDMPAHwwR2vs5NhnNyDMSaBjaQ4ZtB3aDvcdkqLwPO4yGRJslxBule49J9h6TJqW42G0rC2spZhFuewgD8Af/+I/4PCOVKLeLQJQT/O4//s00DEwM/IltCEU3wFa8G2fBFvadfTH3/hqMbYw/6TiMUi/uXd+WfTLzj2PetEdR2qADYOLe9R0E/RiYZf+mxFt72VWtGlk7+eSTufDCCwHo06cPy5Ytq/Q1fn+QvLyiSrcpKipbHxNz5CNr9Y16FR71KXzqVfjUq/CoT+FTr8JTk31KS4uvcHmtuVq8a9eu5eFs9erVtG3b1uKKRERERKpfrTkNeu655/LFF1/wl7/8BdM0efTRR60uSURERKTa1ZqwZrPZmDBhgtVliIiIiNSoWnMaVERERKQ+UlgTERERiWAKayIiIiIRTGFNREREJIIprImIiIhEMIU1ERERkQimsCYiIiISwRTWRERERCKYwpqIiIhIBFNYExEREYlghmmaptVFiIiIiEjFNLImIiIiEsEU1kREREQimMKaiIiISARTWBMRERGJYAprIiIiIhFMYU1EREQkgjmsLsBKoVCIhx56iJ9//hmXy8XEiRNp2bKl1WVFpMsuu4z4+HgAmjVrxuTJky2uKPJ8//33PPXUU8ydO5ctW7Zw3333YRgGxx9/POPHj8dm038bwYF9WrNmDbfccgutWrUCYPDgwVx44YXWFhgB/H4/DzzwANu2baO0tJRbb72V4447TsdUBSrqVXp6uo6rCgSDQcaMGcOmTZuw2+1MnjwZ0zR1XP1JRX0qLCy09Jiq12Ft0aJFlJaW8uabb7J69Woee+wxXnjhBavLijg+nw+AuXPnWlxJ5Jo1axbvvvsu0dHRAEyePJkRI0bQs2dPxo0bx+LFizn33HMtrtJ6f+7TTz/9xPXXX8/QoUMtriyyvPvuuyQlJfHkk0+Sm5vL5ZdfTvv27XVMVaCiXt122206riqwZMkSAObPn8/y5cvLw5qOqwNV1Ke+fftaekzV6/i8cuVKevfuDUDnzp358ccfLa4oMq1bt47i4mKGDh3KNddcw+rVq60uKeK0aNGCqVOnlv+8Zs0aevToAUCfPn348ssvrSotovy5Tz/++CP//e9/ufrqq3nggQfweDwWVhc5zj//fO68887yn+12u46pQ6ioVzquKnbOOefwyCOPALB9+3YaNGig46oCFfXJ6mOqXoc1j8dDXFxc+c92u51AIGBhRZEpKiqKG264gdmzZ/Pwww9zzz33qE9/0q9fPxyOPwaqTdPEMAwAYmNjKSwstKq0iPLnPnXq1Il7772XefPm0bx5c6ZNm2ZhdZEjNjaWuLg4PB4Pd9xxByNGjNAxdQgV9UrH1aE5HA5Gjx7NI488Qr9+/XRcHcKf+2T1MVWvw1pcXBxer7f851AodMA/JFKmdevWXHLJJRiGQevWrUlKSmL37t1WlxXR9r/mw+v1kpCQYGE1kevcc8+lQ4cO5b//6aefLK4ocuzYsYNrrrmGSy+9lP79++uYqsSfe6XjqnKPP/44//nPfxg7dmz5ZS6g4+rP9u9Tr169LD2m6nVY69q1K8uWLQNg9erVtG3b1uKKItM///lPHnvsMQB27tyJx+MhLS3N4qoi24knnsjy5csBWLZsGd26dbO4osh0ww038MMPPwDw1VdfcdJJJ1lcUWTIzs5m6NChjBo1ioEDBwI6pg6lol7puKrY22+/zYsvvghAdHQ0hmHQoUMHHVd/UlGfhg8fbukxVa8nct93N+gvv/yCaZo8+uijtGnTxuqyIk5paSn3338/27dvxzAM7rnnHrp27Wp1WRFn69at3HXXXSxYsIBNmzYxduxY/H4/GRkZTJw4EbvdbnWJEWH/Pq1Zs4ZHHnkEp9NJgwYNeOSRRw64NKG+mjhxIh999BEZGRnlyx588EEmTpyoY+pPKurViBEjePLJJ3Vc/UlRURH3338/2dnZBAIBhg0bRps2bfR31Z9U1KfGjRtb+ndVvQ5rIiIiIpGuXp8GFREREYl0CmsiIiIiEUxhTURERCSCKayJiIiIRDCFNREREZEIpifAikid17dvX7Zt21bhuuOPP57333+/2mto164dTzzxBJdeemm170tE6haFNRGpF4YNG8a111570HLNWiIikU5/S4lIvRATE6OZN0SkVtI1ayJS723dupV27drx3nvvccEFF3DyySczZMgQfv755/JtAoEAs2bN4rzzzqNjx47079+fDz/88ID3Wbp0KVdeeSUnn3wyffv25aWXXjpg/YYNGxgyZAgdO3akb9++/POf/6yRzycitZvCmojIXo899hgjRozgn//8J/Hx8Vx//fUUFhaWr5s9ezZ33XUX7777LhdddBF33XUX//nPfwD47rvvuOWWWzj99NN5++23uf/++5k2bRoLFiwof/958+YxePBgPvzwQ/r27cvYsWP5/fffLfmsIlJ7aLopEanz+vbty65du3A6nQetu++++zj99NM5++yzGTNmDEOGDAGgsLCQPn36MHr0aC6++GJ69uzJuHHjuOqqq8pfO2LECH7//XcWLlzIXXfdxe7du5k7d275+rfffhu73U7//v1p164dt9xyCyNHjgQgPz+fHj16MHXqVM4777xq7oCI1Ga6Zk1E6oWrr76azMzMg5anpKSQn58PQPfu3cuXx8fH06ZNG3755Rc2btxIIBCga9euB7y2e/fufPrppwD88ssv9OnT54D1l1122QE/t2rVqvz3iYmJAJSUlBz1ZxKR+kFhTUTqhcTERFq2bFnhun1h7c8jb6FQCJvNhsvlqvB1wWCw/G7ScO4qtdkOvvJEJzdE5HB0zZqIyF4//vhj+e/z8/PZtGkTJ5xwAq1atcLpdLJy5coDtl+5ciXHHXccAG3atDng9QB/+9vf+Otf/1r9hYtInaaRNRGpF4qKiti9e3eF6/aNbk2ZMoXU1FQaNmzI008/TXJyMhdccAFRUVFcf/31PPPMMyQlJdG+fXs+/vhjPv74Y6ZMmQLA0KFDGThwINOnT+eiiy5i3bp1vPrqqzz44IM19hlFpG5SWBORemHWrFnMmjWrwnX7HqExaNAgJkyYwK5du+jRowevvPIKMTExANx5553YbDYeffRRcnNzadOmDVOmTOGCCy4A4KSTTmLq1Kk899xzTJ8+nfT0dEaOHMnAgQNr5gOKSJ2lu0FFpN7bunUrZ599NvPmzaNbt25WlyMicgBdsyYiIiISwRTWRERERCKYToOKiIiIRDCNrImIiIhEMIU1ERERkQimsCYiIiISwRTWRERERCKYwpqIiIhIBFNYExEREYlg/x/95ioavjW7OwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,6))\n",
    "sns.set_style(style='dark')\n",
    "ax = sns.lineplot(x='epoch', y='loss',\n",
    "             style='split',\n",
    "             hue='model',\n",
    "             data=loss_learning_curves)\n",
    "ax.set_title('Loss Learning Curves', fontdict={'fontsize': 16})\n",
    "ax.grid(visible=True, which='major', color='black', linewidth=0.075)\n",
    "ax.grid(visible=True, which='minor', color='black', linewidth=0.075)\n",
    "ax.set_xlabel(\"Epoch\", fontsize = 15)\n",
    "ax.set_ylabel(\"Loss\", fontsize = 15);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "11855d06-552d-4bc2-ba74-668422aace0c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base39",
   "language": "python",
   "name": "base39"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
